Nice suggestion, but drunk-cycling is self-limiting in a way that drunk-cycling is not. Drunk-driving you are seated, and only need to be barely conscious. for drunk-cycling, you still must be sufficiently functional to balance on a bike, which puts a bit of a floor on the level of perceptual and cognitive function available, in addition to the far lower bike vs car ceiling on available momentum to do damage.
Not recommended, but cycling is a very substantially less-worse choice, absent getting another ride.